Irrational Numbers: Examples & Non-Examples Explained

High School
Algebra
Algebra I
Irrational numbers

Show how two irrational numbers can sum to a rational number.

Pitrellais 2022-05-24

How to find an irrational number in $Q \cap [0, 1]$ ?

qtbabe9876a9 2022-05-24

Can there exist any continuous function on $R$ that maps a rational number to an irrational number and an irrational number to a rational number?

Aidyn Cox 2022-05-24

Prove: If $n \in N$ is not the square of some other $m \in N$ , then $\sqrt{n}$ must be irrational.

Nicholas Cruz 2022-05-23

Show that every irrational number in $R$ is the limit of a sequence of rational numbers. Every rational number in $R$ is the limit of a sequence of irrational numbers.

Kozankaht2 2022-05-23

Proof that $2 \sqrt{2} + \sqrt{7}$ is an irrational number.

zato1kom7 2022-05-23

Proving $\sqrt{2} + \sqrt{3}$ is irrational

cricafh 2022-05-23

Argument is that if you add a rational number to an irrational number it will still be an irrational number but you can count to it.
ex: $1 / n + s q r t (2)$ is this a vaild example?

Despiniosnt 2022-05-22

Prove that the function:
$f (x) = {\begin{cases} x, & if x is an irrational number \\ 0 & if x is a rational number \end{cases}$
is discontinuous at every irrational number using both the precise definition of a limit and the fact that every nonempty open interval of real numbers contains both irrational and rational numbers.

Emery Boone 2022-05-22

What is the consequence of raising a number to the power of irrational number?

Ex: $2^{π}, 5^{\sqrt{2}}$ , $2^{π}, 5^{\sqrt{2}}$

ownerweneuf 2022-05-22

Sum of $2$ positive irrational numbers is irrational?

Kaeden Woodard 2022-05-22

What if randomly select a number x from the set [0,1], thenP[x is irrational]=1?

Alaina Marshall 2022-05-22

Specify a development member that does not contain an irrational number ( ${(\sqrt{5} - \sqrt[3]{2} + 2)}^{6}$ ).

Scolfaro2y 2022-05-21

If $x$ is an irrational number and $r$ is a rational number then $x r$ is an irrational number.

Avah Knapp 2022-05-21

I know that there is a rational number arbitrarily close to an irrational, due to the density of real number. But what about an irrational number?

Isaiah Farrell 2022-05-21

Is Area of a circle always irrational?

vaganzahi 2022-05-20

What if we write $0$ . and then throw a coin and depending on the result continue the number with $1$ or $0$ and continue this process indefinitely.
What is the probability that the number produced is irrational?

rs450nigglix2 2022-05-20

Is the solution of the equation $x + \arctan (x) = π$ irrational ?

Isabela Sherman 2022-05-20

Will every $n^{t h}$ root of $2$ be an irrational number? If yes, how can I prove that?

Waylon Ruiz 2022-05-20

From the fact that $\frac{1}{5} (3 + 4 i)$ has infinite order in $(C, \cdot)$ , I'm supposed to infer that $\frac{1}{π} \arctan \frac{4}{3}$ is irrational. Proving a $\arctan \frac{4}{3}$ is irrational.

The use of irrational numbers is quite common for the Engineering disciplines where various irrational numbers equations are used to determine the rightfulness of some calculations or tasks that require prognosis. As a way to make things easier, you can take a look at the list of questions related to irrational numbers and receive immediate help as you look through the list of answers.

If you need additional assistance or feel unsure about your task, simply compare these examples with your task and proceed from there.

Algebra I

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